Finding the Third Proportional to 2,788 and 5,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,788 : 5,505.50 = 5,505.50 : x
2. Step 2: Convert to fraction form
   2,788/5,505.50 = 5,505.50/x
3. Step 3: Cross multiply
   2,788x = 5,505.50 × 5,505.50
4. Step 4: Simplify right side
   2,788x = 30,310,530.25
5. Step 5: Solve for x
   x = 30,310,530.25/2,788
6. Step 6: Final answer
   x = 10,871.78